JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \sin (\log x) d x

is equal to

View answer and explanation

Correct option: C

\frac{x}{2}[\sin (\ln x)-\cos (\ln x)]+c

Option C is correct because the integral of

\sin(\log x)

simplifies to

\frac{x}{2}[\sin (\ln x)-\cos (\ln x)]+c

after using integration by parts twice.

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